A Zetetic is a free-thinker; one whose views are based on logic and reason independent of authority.
Therefore Rowbotham was not a Zetetic. Neither are you.
After reading Earth Not a Globe, One Hundred Proofs the Earth is not a Globe, and
Zetetic Cosmology, I performed the experiments described in Dr. Rowbotham's original work and came to my own conclusion for the shape of the Earth. Each result suggested a flat earth.
Unlike you, my conviction does not rely on any external authority or presumption. I was able to connect the dots for myself and form my own conclusion.
Logic will not solve physics and chemistry.
Physics and Chemistry are constantly and forever changing, updating and reverting. Even the hard sciences are a loose collection of "maybe" and "what if."
Astronomy in particular is completely observational. Theories are contrived and molded into pre-existing ones. The lights in the sky are given meaning and turned into worlds upon which imaginative dreamers of the day can escape into. Every couple of months we will hear about astronomers discovering a new object in the night sky that "might" harbor life. Or maybe we will hear about a newly discovered object that "might" collide with us. Forever reaching, forever imagining, these astronomers are nothing more sophisticated fortune tellers.
Astronomy is just as bad as Astrology. Using science as any form of authority is hardly an argument.